On partial-Armendariz rings
Commun. Korean Math. Soc. 2019 Vol. 34, No. 3, 719-727
https://doi.org/10.4134/CKMS.c180249
Published online July 31, 2019
Sang Bok Nam, Zhelin Piao, Sang Jo Yun
Kyungdong University; Yanbian University; Dong-A University
Abstract : This article concerns a generalization of Armendariz rings that is done by restricting the degree to one. We shall call such rings, as to satisfy this property, {\it partial-Armendariz}. We first show that partial-Armendariz rings are between Armendariz rings and weak Armendariz rings. The basic structures of partial-Armendariz rings are investigated, and the relations between partial-Armendariz rings and near related ring properties are also studied.
Keywords : partial-Armendariz ring, Armendariz ring, weak Armendariz ring, polynomial ring, reduced ring, matrix ring
MSC numbers : 16S36, 16S50, 16N40
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